You for sure shouldn't cut - unless you're carrying a lot of weight, you only cut for vanity reasons imo (unless you're a boxer going for weight classes or something like that), and at that weight you certainly aren't carrying much weight. Do some weight training along bulking principles, and lots of endurance training.
I was training to become a soldier once, I split it about evenly between running (and swimming, but you won't need that as a cop) and weight training - I ate a lot and gained lots of endurance, strength and mass. It turned out that was too much weight training, I couldn't support the gained muscle in the army, but that's different for cops I guess - and some mass is probably a lot more useful to cops too. About the running, if I was training to be a cop, I'd do a good amount of HIIT for the running, isn't it more about burst speed than long range endurance?
If you haven't got any martial arts training, start doing some boxing and/or brazilian jiu jitsu.